Answer:
x = 4
Step-by-step explanation:
For ΔLJK
[tex]sin(K) = \frac{Opposite}{Hypotenuse} \\sin(30)=\frac{LJ}{8\sqrt{2} }[/tex]
[tex]LJ=8\sqrt{2} *sin30=4\sqrt{2}[/tex]
For ΔLMJ
[tex]sin(J) = \frac{Opposite}{Hypotenuse} \\sin(45)=\frac{LM}{4\sqrt{2} }[/tex]
[tex]LM=4\sqrt{2} *sin45=4[/tex]
x = LM = 4
